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Finding the Fourth Proportional to 5,342.28, 7,365.60 and 3,450.66

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Solution

The fourth proportional to 5,342.28, 7,365.60 and 3,450.66 is: 4,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.28 : 7,365.60 = 3,450.66 : x
  2. Step 2: Convert to fraction form
    5,342.28/7,365.60 = 3,450.66/x
  3. Step 3: Cross multiply
    5,342.28x = 7,365.60 × 3,450.66
  4. Step 4: Simplify right side
    5,342.28x = 25,416,181.30
  5. Step 5: Solve for x
    x = 25,416,181.30/5,342.28
  6. Step 6: Final answer
    x = 4,757.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.